Question

Find the

Answer 1

X=32

Explanation:

(4x+25)+(x-5)= 180

combine like terms

5x+20=180

-20 -20

5x=160

divide each side by 5

x=32

Answer 2

x = 32 degrees

Angle ABC (left one): 153 degrees

Angle CBD (right one): 27 degrees

Explanation:

We know that the total angle will be 180 degrees, as it's a continuous straight line.

We can set the sum of our 2 angles equal to 180 degrees and solve for x.

(4x + 25) + (x - 5) = 180

4x + 25 + x - 5 = 180

4x + x + 25 - 5 = 180

5x + 20 = 180

5x = 160

x = 160/5 = 32

x = 32

Angle ABC:

4x + 25 = 4 * 32 + 25 = 128 + 25 = 153

153 degrees

Angle CBD:

x - 5 = 32 - 5 = 27

27 degrees

We can confirm this by adding the 2 angles together. We should get 180 degrees.

153 + 27 = 180

Checks out!